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Finding the Fourth Proportional to 31,870.48, 47,797.60 and 22,597.60

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Solution

The fourth proportional to 31,870.48, 47,797.60 and 22,597.60 is: 33,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.48 : 47,797.60 = 22,597.60 : x
  2. Step 2: Convert to fraction form
    31,870.48/47,797.60 = 22,597.60/x
  3. Step 3: Cross multiply
    31,870.48x = 47,797.60 × 22,597.60
  4. Step 4: Simplify right side
    31,870.48x = 1,080,111,045.76
  5. Step 5: Solve for x
    x = 1,080,111,045.76/31,870.48
  6. Step 6: Final answer
    x = 33,890.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.